Question

question
in △rst, x is the centroid. if rv = 18, find xv.
answer attempt 1 out of 2
xv =

Explanation:

Step1: 重心性质

三角形重心将中线分为\(2:1\)的两段，即\(RX = 2XV\)，\(RV=RX + XV\)。

Step2: 计算\(XV\)

因为\(RV = 18\)，且\(RV=RX + XV=2XV+XV = 3XV\)，所以\(XV=\frac{RV}{3}\)。
将\(RV = 18\)代入\(XV=\frac{RV}{3}\)，得\(XV=\frac{18}{3}=6\)。

Answer:

\(6\)